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Chapter 2: Q1. (page 65)

It is known that鈭�HOK has a supplement, but can鈥檛 have a complement. Name one possible measure for role="math" localid="1646462344975" 鈭�HOK.

Short Answer

Expert verified

The one possible measure for鈭�HOK is 120掳.

Step by step solution

01

Step 1. Definition of complementary angles.

The complementary angles are the angles whose sum is 90掳.

02

Step 2. Definition of supplementary angles.

The supplementary angles are the angles whose sum is 180掳.

03

Step 3. Write one possible measure for ∠HOK.

The angle鈭�HOK can鈥檛 have a compliment that implies the angle 鈭�HOK has measured greater than 90掳.

The angle鈭�HOK has a supplement that implies the angle鈭�HOK has measured less than 180掳.

Therefore, the angle 鈭�HOK has measured greater than 90掳and less than 180掳.

Therefore, the one possible measure for 鈭�HOK is 120掳.

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